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Finding the Fourth Proportional to 11,602.49, 16,007.63 and 6,566.21

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Solution

The fourth proportional to 11,602.49, 16,007.63 and 6,566.21 is: 9,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.49 : 16,007.63 = 6,566.21 : x
  2. Step 2: Convert to fraction form
    11,602.49/16,007.63 = 6,566.21/x
  3. Step 3: Cross multiply
    11,602.49x = 16,007.63 × 6,566.21
  4. Step 4: Simplify right side
    11,602.49x = 105,109,427.35
  5. Step 5: Solve for x
    x = 105,109,427.35/11,602.49
  6. Step 6: Final answer
    x = 9,059.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.